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Reflection for three-dimensional plane waves in triclinic crystalline medium

Applied Mathematics and Mechanics(English Edition) 2007年第10期28卷 1309-1318页

作者： amares chattopadhyay Department of Applied Mathematics Indian School of Mines UniversityDhanbad-826004JharkhandIndia

The propagation of three-dimensional plane waves at a traction free boundary of a half-space composed of triclinic crystalline material is discussed. A method has been developed to find the analytical expressions of all the three phase velocities of quasi-P （qP）, quasi-SV （qSV） and quasi-SH （qSH） in three dimensions. Closed form expressions in three dimensions for the amplitude ratios of reflection coefficients of qP, qSV and qSH waves in a triclinic medium are obtained. These expressions are used for numerically studying the variation of the reflection coetticients with the angle of incidence. The graphs are drawn for different polar angle and azimuth. Numerical results presented indicate that the anisotropy affect the reflection coetticients significantly in the three dimensional case compared to the two-dimensional case.

关键词： three-dimensional polar angle azimuth reflection triclinic medium quasi-P quasi-SV quasi-SH waves

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G-Type Seismic Wave in Magnetoelastic Monoclinic Layer

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Applied Mathematics 2011年第2期2卷 145-154页

作者： amares chattopadhyay Shishir Gupta Abhishek K. Singh Sanjeev A. Sahu 不详

This paper deals with the study of propagation of G type waves along the plane surface at the interface of two different types of media. The upper medium is taken as monoclinic magnetoelastic layer whereas the lower half-space is inhomogeneous isotropic. Dispersion equation and condition for maximum energy flow near the surface are obtained in compact form. The dispersion equation is in assertion with the classical Love-type wave equation for the isotropic case. Effect of magnetic field and inhomogeneity on phase velocity and variation of group velocity with scaled wave number has been depicted by means of graphs. It is observed that inhomogenetity decreases phase velocity and the magnetic field has the favouring effect. A comparative study for the case of isotropic layer and monoclinic layer over the same isotropic inhomogeneous half space has been made through graphs.

关键词： G-Waves Magnetoelastic Dispersion Equation Monoclinic Transform Technique

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Effect of Point Source, Self-Reinforcement and Heterogeneity on the Propagation of Magnetoelastic Shear Wave

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Applied Mathematics 2011年第3期2卷 271-282页

作者： amares chattopadhyay Shishir Gupta Abhishek K. Singh Sanjeev A. Sahu 不详

This paper investigates the propagation of horizontally polarised shear waves due to a point source in a magnetoelastic self-reinforced layer lying over a heterogeneous self-reinforced half-space. The heterogeneity is caused by consideration of quadratic variation in rigidity. The methodology employed combines an efficient derivation for Green’s functions based on algebraic transformations with the perturbation approach. Dispersion equation has been obtained in the closed form. The dispersion curves are compared for different values of magnetoelastic coupling parameters and inhomogeneity parameters. Also, the comparative study is being made through graphs to find the effect of reinforcement over the reinforced-free case on the phase velocity. It is observed that the dispersion equation is in assertion with the classical Love-type wave equation in the absence of reinforcement, magnetic field and heterogeneity. Moreover, some important peculiarities have been observed in graphs.

关键词： Shear Wave Magnetoelastic Self-Reinforcement Dispersion Equation Seismic Wave

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Influence of Rigid Boundary and Initial Stress on the Propagation of Love Wave

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Applied Mathematics 2011年第5期2卷 586-594页

作者： Shishir Gupta amares chattopadhyay Sumit K. Vishwakarma Dinesh K. Majhi 不详

In the present paper we study the effect of rigid boundary on the propagation of Love waves in an inhomogeneous substratum over an initially stressed half space, where the heterogeneity is both in rigidity and density. The dispersion equation of the phase velocity has been derived. It has been found that the phase velocity of Love wave is considerably influenced by the rigid boundary, inhomogeneity and the initial stress present in the half space. The velocity of Love waves have been calculated numerically as a function of KH (where K is a wave number H is a thickness of the layer) and are presented in a number of graphs.

关键词： Love Waves Initial Stress Heterogeneous Half-Space Rigid Boundary Phase Velocity

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Effect of Mo and ZrO_(2)nanoparticles addition on interfacial properties and shear strength of Sn58Bi/Cu solder joint

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Transactions of Nonferrous Metals Society of China 2024年第8期34卷 2619-2628页

作者： amares SINGH Hui Leng CHOO Wei Hong TAN Rajkumar DURAIRAJ School of Engineering Faculty of Innovation&TechnologyTaylor’s UniversitySubang Jaya47500SelangorMalaysia Faculty of Mechanical Engineering&Technology Universiti Malaysia Perlis(UniMAP)Pauh Putra Campus02600 ArauPerlisMalaysia Lee Kong Chian Faculty of Engineering and Science Universiti Tunku Abdul RahmanJalan Sungai LongBandar Sungai Long43000 KajangSelangorMalaysia

The influence of Mo and ZrO_(2)nanoparticles addition on the interfacial properties and shear strength of Sn58Bi solder joint was *** interfacial microstructures of Sn58Bi/Cu,Sn58Bi+Mo/Cu and Sn58Bi+ZrO_(2)/Cu solder joints were analysed using a scanning electron microscope(SEM)coupled with energy dispersive X-ray(EDX)and the X-ray diffraction(XRD).Intermetallic compounds(IMCs)of MoSn_(2)are detected in the Sn58Bi+Mo/Cu solder joint,while SnZr,Zr_(5)Sn_(3),ZrCu and ZrSn_(2)are detected in Sn58Bi+ZrO_(2)/Cu solder *** layers for both composite solders comprise of Cu_(6)Sn_(5) and Cu_(3)*** SEM images of these layers were used to measure the IMC layer’s *** average IMC layer’s thickness is 1.4431μm for Sn58Bi+Mo/Cu and 0.9112μm for Sn58Bi+ZrO_(2)/Cu solder *** strength of the solder joints was investigated via the single shear lap test *** average maximum load and shear stress of the Sn58Bi+Mo/Cu and Sn58Bi+ZrO_(2)/Cu solder joints are increased by 33%and 69%,respectively,as compared to those of the Sn58Bi/Cu solder *** comparing both composite solder joints,the latter prevails better as adding smaller sized ZrO_(2)nanoparticles improves the interfacial properties granting a stronger solder joint.

关键词： lead-free solder interfacial microstructure IMC layer thickness shear strength dislocation density ZrO_(2)nanoparticles Mo nanoparticles

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Preliminary Investigation of Copper Joints Soldered with Sn58Bi

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Journal of Harbin Institute of Technology(New Series) 2022年第1期29卷 57-63页

作者： amares Singh Teow Sinn Khai Rajkumar Durairaj Amer Ahmed Qassem Saleh Center for Advanced Materials Research and Manufacturing Processes SEGi UniversityPetaling Jaya 47810SelangorMalaysia Lee Kong Chian Faculty of Engineering and Science University Tunku Abdul RahmanKajang 43000SelangorMalaysia

In recent years,intensive studies have been carried out to find an alternative for Tin(Sn)⁃Lead(Pb)solder alloys with increasing demand over lower temperature solder alloys in current electronic packaging *** temperature operational solder alloys seem to produce drawback to other components on the printed circuit board(PCB).Low melting temperature Sn58Bi substrate as a potential replacement was investigated in this paper based on the melting properties,wettability,and shear *** Sn58Bi was soldered at a temperature below 200℃on the Cu substrate,and the shear strength and contact angle were calculated.A peak temperature(melting temperature,T_(M))of 144.83℃was *** lap joint method was performed at a strain rate of 0.1 mm/min and an average shear strength of 23.4 MPa was found from three *** contact angle(wettability)was calculated to study the solder joint behaviour at reflow temperature of 170℃.The contact angle of the Sn58Bi was found to be 32.4°and considered to be desired value since the angle is less than 50°.The low temperature soldering provides a preliminary result to allow further application on the real PCB.

关键词： SnBi solder low temperature shear strength contact angle

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分壁精馏塔模拟ACN法萃取精馏丁二烯过程的研究

分壁精馏塔模拟ACN法萃取精馏丁二烯过程的研究

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作者： Arsenio amares 华东理工大学

学位级别：硕士

化工工业一直致力于设计和建造更多节能环保的工业装置流程。精馏分离是混合物分离的最重要的手段之一。分壁精馏塔(DWC)可以在一个塔中实现三组分混合物的清晰分割,并且可以大大降低传统精馏序列的能源消耗、设备成本和装置占地面积。... 详细信息

化工工业一直致力于设计和建造更多节能环保的工业装置流程。精馏分离是混合物分离的最重要的手段之一。分壁精馏塔(DWC)可以在一个塔中实现三组分混合物的清晰分割,并且可以大大降低传统精馏序列的能源消耗、设备成本和装置占地面积。常规的萃取精馏方法可以分离包含丁二烯、丁烷和异丁烷等C4混合物,萃取精馏溶剂选用的是乙腈(ACN)和水。本文针对常规的萃取精馏生产丁二烯的精馏过程进行了优化与设计。首先,对ACN法生产丁二烯的常规精馏过程进行了模拟,模拟计算结果非常接近工业数据。然后将常规精馏过程中的两个萃取精馏塔和溶剂回收塔进行集成,整合在一个分壁萃取精馏塔(EDWC)中。对于C4混合物的萃取分离,EDWC与常规萃取精馏塔工艺相比具有更高的热力学效率,与常规精馏工艺和EDWC工艺进行了比较,当EDWC工艺中丁二烯产品纯度达到99.2%纯度时,EDWC的年均总投资费用(TAC)为145万美元/年,明显优于常规的精馏过程的162万美元/年,使TAC降低了10%左右。模拟计算结果说明采用EDWC进行丁二烯萃取分离更具优势。

关键词：丁二烯萃取精馏分壁精馏塔模拟

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